Comparisons of recollements and tilting modules

DOI10.1007/s11425-009-0153-0zbMath1195.18006OpenAlexW2007546914MaRDI QIDQ989755

Lin Xin, Ya Nan Lin

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0153-0

zbMATH Keywords

recollementtilting moduletorsion paircomparision

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Torsion theories, radicals (18E40) Abelian categories, Grothendieck categories (18E10) Localization of categories, calculus of fractions (18E35)

Cites Work

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• A stratification of generic representation theory and generalized Schur algebras.
• Elementary construction of perverse sheaves
• Derived categories and Morita theory
• Tilting complexes, perpendicular categories and recollements of derived module categories of rings
• Perpendicular categories with applications to representations and sheaves
• Recollement and tilting complexes.
• Comparison of abelian categories recollements
• Some aspects of torsion
• Tilted Algebras
• Homological and homotopical aspects of torsion theories